Properties of the augmented Lagrangian in nonlinear semidefinite optimization
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Publication:868537
DOI10.1007/s10957-006-9078-8zbMath1278.90305OpenAlexW2029448249MaRDI QIDQ868537
Publication date: 6 March 2007
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-006-9078-8
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Cites Work
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- First and second order analysis of nonlinear semidefinite programs
- Non-interior continuation methods for solving semidefinite complementarity problems
- Convergence analysis of a nonlinear Lagrangian algorithm for nonlinear programming with inequality constraints
- Nonsmooth analysis of eigenvalues
- Optimality conditions for nonconvex semidefinite programming
- An LMI-Based Algorithm for Designing Suboptimal Static $\cal H_2/\cal H_\infty$ Output Feedback Controllers
- Twice Differentiable Spectral Functions
- An Interior Proximal Algorithm and the Exponential Multiplier Method for Semidefinite Programming
- Analysis of Nonsmooth Symmetric-Matrix-Valued Functions with Applications to Semidefinite Complementarity Problems
- A Squared Smoothing Newton Method for Nonsmooth Matrix Equations and Its Applications in Semidefinite Optimization Problems
- Derivatives of Spectral Functions
- Interior Point Methods in Semidefinite Programming with Applications to Combinatorial Optimization
- Semidefinite Programming
- Semismooth Matrix-Valued Functions
- Semismooth Homeomorphisms and Strong Stability of Semidefinite and Lorentz Complementarity Problems
- Some Properties of the Augmented Lagrangian in Cone Constrained Optimization
- Handbook of semidefinite programming. Theory, algorithms, and applications
